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Finding the Fourth Proportional to 249.07, 343.82 and 170.80

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Solution

The fourth proportional to 249.07, 343.82 and 170.80 is: 235.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.07 : 343.82 = 170.80 : x
  2. Step 2: Convert to fraction form
    249.07/343.82 = 170.80/x
  3. Step 3: Cross multiply
    249.07x = 343.82 × 170.80
  4. Step 4: Simplify right side
    249.07x = 58,724.46
  5. Step 5: Solve for x
    x = 58,724.46/249.07
  6. Step 6: Final answer
    x = 235.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.